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Finding the Third Proportional to 235,279,548 and 355,945,331.25

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Solution

The third proportional to 235,279,548 and 355,945,331.25 is: 538,495,929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,279,548 : 355,945,331.25 = 355,945,331.25 : x
  2. Step 2: Convert to fraction form
    235,279,548/355,945,331.25 = 355,945,331.25/x
  3. Step 3: Cross multiply
    235,279,548x = 355,945,331.25 × 355,945,331.25
  4. Step 4: Simplify right side
    235,279,548x = 126,697,078,838,672,224
  5. Step 5: Solve for x
    x = 126,697,078,838,672,224/235,279,548
  6. Step 6: Final answer
    x = 538,495,929.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.